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Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- List of Color Plates ix
- Preface xi
- Prologue: Cambridge, England, 1993 1
- 1. Mesopotamia, 1800 BCE 4
- Sidebar 1: Did the Egyptians Know It? 13
- 2. Pythagoras 17
- 3. Euclid’s Elements 32
- Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose 45
- 4. Archimedes 50
- 5. Translators and Commentators, 500–1500 CE 57
- 6. François Viète Makes History 76
- 7. From the Infinite to the Infinitesimal 82
- Sidebar 3: A Remarkable Formula by Euler 94
- 8. 371 Proofs, and Then Some 98
- Sidebar 4: The Folding Bag 115
- Sidebar 5: Einstein Meets Pythagoras 117
- Sidebar 6: A Most Unusual Proof 119
- 9. A Theme and Variations 123
- Sidebar 7: A Pythagorean Curiosity 140
- Sidebar 8: A Case of Overuse 142
- 10. Strange Coordinates 145
- 11. Notation, Notation, Notation 158
- 12. From Flat Space to Curved Spacetime 168
- Sidebar 9: A Case of Misuse 177
- 13. Prelude to Relativity 181
- 14. From Bern to Berlin, 1905–1915 188
- Sidebar 10: Four Pythagorean Brainteasers 197
- 15. But Is It Universal? 201
- 16. Afterthoughts 208
- Epilogue: Samos, 2005 213
- Appendixes 218
- Chronology 245
- Bibliography 251
- Illustrations Credits 255
- Index 257
Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- List of Color Plates ix
- Preface xi
- Prologue: Cambridge, England, 1993 1
- 1. Mesopotamia, 1800 BCE 4
- Sidebar 1: Did the Egyptians Know It? 13
- 2. Pythagoras 17
- 3. Euclid’s Elements 32
- Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose 45
- 4. Archimedes 50
- 5. Translators and Commentators, 500–1500 CE 57
- 6. François Viète Makes History 76
- 7. From the Infinite to the Infinitesimal 82
- Sidebar 3: A Remarkable Formula by Euler 94
- 8. 371 Proofs, and Then Some 98
- Sidebar 4: The Folding Bag 115
- Sidebar 5: Einstein Meets Pythagoras 117
- Sidebar 6: A Most Unusual Proof 119
- 9. A Theme and Variations 123
- Sidebar 7: A Pythagorean Curiosity 140
- Sidebar 8: A Case of Overuse 142
- 10. Strange Coordinates 145
- 11. Notation, Notation, Notation 158
- 12. From Flat Space to Curved Spacetime 168
- Sidebar 9: A Case of Misuse 177
- 13. Prelude to Relativity 181
- 14. From Bern to Berlin, 1905–1915 188
- Sidebar 10: Four Pythagorean Brainteasers 197
- 15. But Is It Universal? 201
- 16. Afterthoughts 208
- Epilogue: Samos, 2005 213
- Appendixes 218
- Chronology 245
- Bibliography 251
- Illustrations Credits 255
- Index 257